Finding the Fourth Proportional to 2,582.23, 3,565.04 and 1,638.17

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.23 : 3,565.04 = 1,638.17 : x
2. Step 2: Convert to fraction form
   2,582.23/3,565.04 = 1,638.17/x
3. Step 3: Cross multiply
   2,582.23x = 3,565.04 × 1,638.17
4. Step 4: Simplify right side
   2,582.23x = 5,840,141.58
5. Step 5: Solve for x
   x = 5,840,141.58/2,582.23
6. Step 6: Final answer
   x = 2,261.67